8-0.9(j-1)=0.6(5j-1)

Solution for 8-0.9(j-1)=0.6(5j-1) equation:

Simplifying
8 + -0.9(j + -1) = 0.6(5j + -1)

Reorder the terms:
8 + -0.9(-1 + j) = 0.6(5j + -1)
8 + (-1 * -0.9 + j * -0.9) = 0.6(5j + -1)
8 + (0.9 + -0.9j) = 0.6(5j + -1)

Combine like terms: 8 + 0.9 = 8.9
8.9 + -0.9j = 0.6(5j + -1)

Reorder the terms:
8.9 + -0.9j = 0.6(-1 + 5j)
8.9 + -0.9j = (-1 * 0.6 + 5j * 0.6)
8.9 + -0.9j = (-0.6 + 3j)

Solving
8.9 + -0.9j = -0.6 + 3j

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-3j' to each side of the equation.
8.9 + -0.9j + -3j = -0.6 + 3j + -3j

Combine like terms: -0.9j + -3j = -3.9j
8.9 + -3.9j = -0.6 + 3j + -3j

Combine like terms: 3j + -3j = 0
8.9 + -3.9j = -0.6 + 0
8.9 + -3.9j = -0.6

Add '-8.9' to each side of the equation.
8.9 + -8.9 + -3.9j = -0.6 + -8.9

Combine like terms: 8.9 + -8.9 = 0.0
0.0 + -3.9j = -0.6 + -8.9
-3.9j = -0.6 + -8.9

Combine like terms: -0.6 + -8.9 = -9.5
-3.9j = -9.5

Divide each side by '-3.9'.
j = 2.435897436

Simplifying
j = 2.435897436